Answer:
Both sports = 15
Step-by-step explanation:
Remark
What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.
Givens
Football only = 35
Volleyball only = 15
Ratio = 5/3
Equation
Let the number of students who play both = x
Volleyball / Football = (x + 15) /(x + 35) = 3/5
Solution
(x + 15) / (x + 35) = 3/5 Cross multiply
5*(x + 15) = 3(x + 35) Remove the brackets
5x + 75 = 3x + 105 Subtract 3x from both sides
<u>3x 3x</u>
2x + 75 = 105 Subtract 75 from both sides
<u> - 75 -75 </u>
2x = 30 Divide by 2
2x/2 = 30/2
x = 15
15 people play both sports.
Answer:
ok what is it
Explanation:
hi i am Elena Sweet but yu can call me Elena
Answer: Yes, the relation y = x² + 12x + 31 is a function.
Explanation:
The formal definition of a function states that a function is a relation that associates the elements of a set, called the inpunt set, to the elements of another set (the ouput set) in such a way that every element of the input set is relatated with exactly one element of the output set.
The input set is represented with the independent variable and the output set is the dependent variable.
In the given relation (function), y = x² + 12x + 31 , the independent variable is x and the dependent variable is y.
You can verify that, for any x-value that you choose only one y-value (also known as image), is obtained, so that the relation does not have any ambiguity.
This is, if you, e.g., choose x = 1, y has a definite value ( 1² + 12×1 + 31 = 44) and never another different value, and the same is true for any value of x that you choose.
There is, also, a graph method to determine if a graph represents a function; it is called the vertical line test.
Answer:
The voltage is 10 + 2j volts.
Step-by-step explanation:
Ohm's first law:
By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:
The voltage is measured in Volts, the current in amps and the resistance in ohms.
In this question:
Both the current and the resistance have complex parts. We have to know that:
We have that:
Then
The voltage is 10 + 2j volts.
